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Trudy SPIIRAN, 2011, Issue 18, Pages 215–236 (Mi trspy443)  
The reconstruction and decomposition matrixes for linear splines

A. A. Makarov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (855 kB)
Abstract: The aim of the paper is construction of calibration relations in the case of class of coordinate non-polynomial splines connected with refinement of grids. An embedding of spline spaces is established for arbitrary refinement of grids. The reconstruction matrixes in the case of a grid on an open interval and a grid on a segment are constructed. The system of biorthogonal linear functionals to splines is constructed. The decomposition matrixes in the case of a grid on an open interval and a grid on a segment are constructed.
Keywords: spline, wavelet, spline wavelet decomposition, reconstruction matrix, decomposition matrix, subdivision scheme.
Received: 08.07.2011
Accepted: 29.09.2011
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Makarov, “The reconstruction and decomposition matrixes for linear splines”, Tr. SPIIRAN, 18 (2011), 215–236
Citation in format AMSBIB
\Bibitem{Mak11}
\by A.~A.~Makarov
\paper The reconstruction and decomposition matrixes for linear splines
\jour Tr. SPIIRAN
\yr 2011
\vol 18
\pages 215--236
\mathnet{http://mi.mathnet.ru/trspy443}
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  • https://www.mathnet.ru/eng/trspy/v18/p215
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